1. This is the Peclet number as written for solute transport in the interstitial fluid of tissues: XUL Pet Deff X = retention coef.; u = interstitial fluid flow velocity; L₁ = transport length; Deff = effective diffusion coef. A. Define the Peclet number (what it means in your own words) and explain how it is applied when applying a convection-diffusion equation to model solute transport in a tissue. To frame your answer, think about the convection-diffusion equation that we analyzed in class shown below. Recall that it was used to model solute transport in the brain under normal physiological conditions. Why was the second term on the right side of the equation dropped before solving? әс, Ət C. - = D. Deff (@²c₁ 1ac₂ + Ər² r ər - Xu B. How would the equation be written if you were modeling cerebral edema (Pet > 10). Note that when Pet > 10, the interstitial fluid flow velocity will carry solutes faster than it could diffuse a given distance. әс, Ər Which coefficient in the Peclet number would change if the solute binding affinity to the brain extracellular matrix increases? act at Does solute binding to the ECM increase or decrease the absolute value of ?
1. This is the Peclet number as written for solute transport in the interstitial fluid of tissues: XUL Pet Deff X = retention coef.; u = interstitial fluid flow velocity; L₁ = transport length; Deff = effective diffusion coef. A. Define the Peclet number (what it means in your own words) and explain how it is applied when applying a convection-diffusion equation to model solute transport in a tissue. To frame your answer, think about the convection-diffusion equation that we analyzed in class shown below. Recall that it was used to model solute transport in the brain under normal physiological conditions. Why was the second term on the right side of the equation dropped before solving? әс, Ət C. - = D. Deff (@²c₁ 1ac₂ + Ər² r ər - Xu B. How would the equation be written if you were modeling cerebral edema (Pet > 10). Note that when Pet > 10, the interstitial fluid flow velocity will carry solutes faster than it could diffuse a given distance. әс, Ər Which coefficient in the Peclet number would change if the solute binding affinity to the brain extracellular matrix increases? act at Does solute binding to the ECM increase or decrease the absolute value of ?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:1. This is the Peclet number as written for solute transport in the interstitial fluid of tissues:
XuLt
Pet
Deff
X = retention coef.; u = interstitial fluid flow velocity; L₁ = transport length; Deff = effective diffusion coef.
A.
Define the Peclet number (what it means in your own words) and explain how it is applied when
applying a convection-diffusion equation to model solute transport in a tissue. To frame your answer, think
about the convection-diffusion equation that we analyzed in class shown below. Recall that it was used to
model solute transport in the brain under normal physiological conditions. Why was the second term on the
right side of the equation dropped before solving?
act
Ət
C.
= Deff
(2²C, 1ƏC,\
Ər²2 r ər
+
D.
xu
B.
How would the equation be written if you were modeling cerebral edema (Pet > 10). Note that
when Pet > 10, the interstitial fluid flow velocity will carry solutes faster than it could diffuse a given distance.
act
Ər
Which coefficient in the Peclet number would change if the solute binding affinity to the brain
extracellular matrix increases?
act
at
Does solute binding to the ECM increase or decrease the absolute value of
?
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